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3 years ago

The population of a town 4 years ago was 50,000

Mathematics

1 answer:

Artyom0805 [142]3 years ago

3 0

Answer:

population will be 79806.

Step-by-step explanation:

Population of a town 4 years ago was 50,000

Population of town had grown exponentially and present population is 63,124.

So the formula of the population growth will be

$A_{n}=A_{o}(r)^{n-1}$

Where $A_{n}$ = Final population n = number of years.

$A_{o}$ = Initial population

r = rate of increase in population per year.

so 63124 = 50,000 $(r)^{4-1}$

$r^{3}=\frac{63124}{50000}= 1.26428$

$r=(1.26428)^{\frac{1}{3} }$

= 1.0813

Now we have to find the population after 4 years from now.

$A_{n}$ = $63124(1.08)^{4-1}$

= $63124(1.08)^{3}$

= 63124 × 1.264

= 79806

Therefore, after 4 years from now population will be 79806.

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